Wave Energy Formula

You may have been near to any seashore if you stay close to such places. When the wind passes on the water surface, it leads to the pressure difference between the upper and bottom wind that results in the generation of waves. Wave energy is the energy that is gained by the waves. When the wind blows on the seashore, it shifts its energy to these waves. These waves carry a lot of power which we call wave power.

The Wave energy density formula according to linear wave theory is

Wave energy density formula

Where,

E = mean wave energy density,

H = wave height,

ρ = water density,

g = acceleration due to gravity.

The wave power formula in terms of wave energy is given by,

Wave Power Formula

Where,

cg = group velocity in m/s.

Solved Numericals

Example 1

A wave in a seashore travels with a height of 5 m. Determine the wave energy density.

Solution:

Given:

Wave energy density formula

Wave height H = 5m,

Water density ρ = 999.97 kg/m3,

Gravity g = 9.8 m/s2

The wave energy formula is given by,

E = 999.97 × 9.8 × 25 / 16

E = 15312 J

Example 2

A huge wave travels with the energy of 8000 J. Determine its wave height.

Solution:

Given:

Wave energy E = 8000J,

Water density ρ = 999.97 kg/m3,

Gravity g = 9.8 m/s2

The wave height is calculated by wave energy formula,

H = √16E / ρg

= √16 x 8000 /( 999.97 x 9.8)

         H = 357.7/9799.70

The wave height of the wave is 0.0365m

 

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